CVXPY
Minimize
  QuadForm(x, [[4.00 6.00]
 [6.00 10.00]])
Subject To
Bounds
 x free
End
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AFTER COMPILATION
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=13.7082039324994, original bounds=[-inf,+inf]
  [continuous] <x_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_2>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_0>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_2>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_3>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>: <soc_t_0>[C] -<x_0>[C] == 1;
  [linear] <c2>: <soc_t_1>[C] +<x_0>[C] == 1;
  [linear] <c3>: <soc_t_2>[C] +0.248216560693358<x_1>[C] -0.153406271079096<x_2>[C] == 0;
  [linear] <c4>: <soc_t_3>[C] -1.05146222423827<x_1>[C] -1.70130161670408<x_2>[C] == 0;
  [nonlinear] <c5>: <soc_t_1>*<soc_t_1>+<soc_t_2>*<soc_t_2>+<soc_t_3>*<soc_t_3>-<soc_t_0>*<soc_t_0> <= 0;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x3>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [nonlinear] <c1>: <x3>-4*<x_0>*<x_0>-12*<x_0>*<x_1>-10*<x_1>*<x_1> >= 0;
END